1005009191368 has 64 divisors (see below), whose sum is σ = 2373188146560. Its totient is φ = 388339854336.

The previous prime is 1005009191363. The next prime is 1005009191371. The reversal of 1005009191368 is 8631919005001.

It is a super-2 number, since 2×1005009191368² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (1005009191363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16021105 + ... + 16083712.

It is an arithmetic number, because the mean of its divisors is an integer number (37081064790).

Almost surely, 2^{1005009191368} is an apocalyptic number.

It is an amenable number.

1005009191368 is an abundant number, since it is smaller than the sum of its proper divisors (1368178955192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005009191368 is a wasteful number, since it uses less digits than its factorization.

1005009191368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32104886 (or 32104882 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 43.

The spelling of 1005009191368 in words is "one trillion, five billion, nine million, one hundred ninety-one thousand, three hundred sixty-eight".